Pith Number

pith:YXVLD2PO

pith:2018:YXVLD2PO4NG35J7JNECLESGCWM

not attested not anchored not stored refs pending

Exponential decay estimates for fundamental solutions of Schr\"odinger-type operators

Bruno Poggi, Svitlana Mayboroda

arxiv:1801.05499 v3 · 2018-01-16 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YXVLD2PO4NG35J7JNECLESGCWM}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-17T23:51:49.553449Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5eab1e9eee34dbea7e96904b248c2b3287fa7dbb1dbba1b3be3fc48e0d6a44f

Aliases

arxiv: 1801.05499 · arxiv_version: 1801.05499v3 · doi: 10.48550/arxiv.1801.05499 · pith_short_12: YXVLD2PO4NG3 · pith_short_16: YXVLD2PO4NG35J7J · pith_short_8: YXVLD2PO

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/YXVLD2PO4NG35J7JNECLESGCWM \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: c5eab1e9eee34dbea7e96904b248c2b3287fa7dbb1dbba1b3be3fc48e0d6a44f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "255f293dcf629ade6e7af263fdb8d7a212deaddaee3b30ab9eee2a8bb2b8f55d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-01-16T22:24:40Z",
    "title_canon_sha256": "746d2aa5ecc13941cac590976a75a0438a4c4086710fcc1b3d7424f3d5ef30c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.05499",
    "kind": "arxiv",
    "version": 3
  }
}